Questions on Geometry: Angles, complementary, supplementary angles answered by real tutors!

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Tutors Answer Your Questions about Angles (FREE)


Question 3259: find both complement and the supplemant of the angle measures: 1) 150, and 2) 9
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Question 3260: find both the complement and the supplement of each angle measure: 1) 40, 2) 79, 3) 116
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Question 4404: two angles are supplementary. if the larger angle is 30 degrees more than twice the smaller angle. find the measure of each angle.
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Question 6563: what is the correct definition of angles?
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Question 7798: What is complementary angle
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Question 8549: What is the easy method of constructing a reflex angle?
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Question 7465: What is the name of the angle that lies beneath the 180 degree line?
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Question 7465: What is the name of the angle that lies beneath the 180 degree line?
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Question 9141: what is the exact measure (in degrees) of an obtuse angle. my teacher said it was 90 degrees < angle < 180 degrees.
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Question 10786: find m ABD and DBC when m ABC = 63

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Question 10856: How do I remember that 90 degrees is complementary and 180 degrees is supplementary?
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Question 10886: find the value of each variable.
3x(80-x)

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Question 10889: What is X?
The measurement for angle AOB is 4x-2; The measurement for angle BOC is 5x+10; The measurement for angle COD is 2x+14. Solve for X

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Question 11517: what is an angle more than 180 degrees and less than 360 degrees
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Question 11959: The question in my books reads as follows; "In the following figure, the measure of angle 1 is 9 degrees less than half of the measure of angle 2. Determine the measure of angles 1 and 2." Using a protractor, this would be simple, but the question appears to be asking for an equation. How would I set this equation up to solve it?
~Kate

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Question 12322: if three angles in one triangle are congruent to three angles in another triangle, then the two triangles are congruent ????
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Question 12602: The supplement of an angle measures 28 degree more than twice its complement. Find the measure of the angle.
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Question 12814: what is the definition of supplementary

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Question 13344: angle A and angle B are supplementary. Find M angle A and m angle B.
Equation m angle A=12x+1
m angle B=X+10

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Question 13981: the question was can the measure of a complementary angle equal the exact measure of 1/2 of a supplementary angle. I did this:
1/2(180-x) = 90-x
90 - x/2 = 90-x
x/2 = x
because i got x/2 = x -- I said yes, and needed to explain, but got it wrong. I am just confused and would appreciate any help.

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Question 14151: A pratical question: I was having coffee this morning, and a couple who are building a go cart track were asking this: They want to know the slant of one corner. They know how far it is across the track. What else do they need to know to calculate the angle of the track ? I guessed that the distance accross is one dimension needed. One of the angles would be 90 degrees. How would I figure the smaller angle , which would be the slant of the track ?
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Question 14476: Does anyone know how to do this?
Q.) Find the measure of each acute interior angle of a regular pentoGRAM.
.
............................................................................
I know that the triangles of a pentogram have two equal sides and and two congruent angles. And I know that if I divide the pentogram into triangles I get 8 triangles so the sum of the measures of the insides of the intire pentogram is 8x180 = 1440
and
all of the little trianles formed by the pentogram will be the same measure.
...............................................................................

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Maybe this can help, these are the theorems and corollaries being used in this section:
.
.
Theorem 2.5.2 : The sum(S)of the measures of the interior angles of a polygon with (n) sides is given by S=(n-S)*180 (note that n>2 for any polygon)
.
.
Theroem 2.5.1 : The total number of diagonals(D) in a polygone on (n) sides is given by the formula: D= (n)(n-3) divided by 2
.
.
Corollary 2.5.3 : The measure (I) of each interior angle of a regular polygon of (n) sides is: I=(n-2)*180 degrees divided by (n)
.
.
Corollary 2.5.4 : The sum of four interior angles of a quadrilateral is 360 degrees.
.
.
Corollary 2.5.5 : The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360 degrees
.
.
Corollary 2.5.6 : The measure(E) of each exterior angle of a regular polygon of (n) sides is E= 360 degrees divided by (n)
.
.
I went to tutoring at the college for this problem and the tutor kept pulling numers out of the sky...none of what she said made sense and she never got the right answer. I am getting ready to give up.
she kept telling me that one angle was 72 degrees and the other two angles are 108 degrees each.
But the sum of the measure of each of the triangles is supposed to equal 180 and that we are looking for an ACUTE angle and I told her and she didn't know what I was talking about. The answer is supposed to be 36 degrees
THANKS IN ADVANCE FOR YOUR HELP. =)


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Question 14878: what is the measerment the angle that is complementry toangl 85 degrees
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Question 15231: What is the measure of each interior angle of a regular pentagon?
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Question 15255: if two angles of a triangle are complementary find the number of degrees in the third angle of the triangle
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Question 15271: the mesures of two complementary angles are represented by x+5 and 4x-15 find the value of x
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Question 15271: the mesures of two complementary angles are represented by x+5 and 4x-15 find the value of x
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Question 15274: two angles are complementary.The mesure of one angle is twice the mesure of the other angle. what is the smaller of the two angles?
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Question 15288: two angles are supplementary and congruent. how many degrees are in the measure of each angle?
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Question 15284: The sum of the measures of two angles is 120 degrees .If the measure of one of the angles is five times that of the other ,which statment is true
1-- the angles are supplementary
2-- the angles are complementary
3-- both angles are acute
4-- one angle is an acute angle and the other is an obtuse angle

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Question 15300: IF TWO ANGLES OF A TRIANGLE MEASURE 30 AND 70 DEGREES WHAT IS THE NUMBER OF DEGREES OF THE THIRD ANGLE OF THE TRIANGEL?
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Question 13168: what is the answer to 87degrres?

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Question 15249: if two angles of a triangle are complementary find the number of degrees in the third angle of the triangle
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Question 9026: I don't understand angles at all. how do you know when it's a linear or adjacent pair?
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Question 15819: the area of a square is represted by 36x squared .which expression repersents the length of each side of the square?
1-- 6x
2-- 9x
3--6x squared
4-- 9x squared

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Question 16275: Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles
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Question 16326: What's the reflex angle AOB?
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Question 16166: Here is a question that was on my homework. I am not sure how to solve it. The measure of the two angles is 180. Twice the measure of angle x equals three times the measure of angle w. What are the measure of angles x and w?
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Question 15834: find the areaof a right triangle whose legs measure 5 and 12
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Question 16604: Lines MN and AB intersect at Q. Also, MN is perpendicular to AB. Find the measures of angle MQA, angle NQA, angle MQB, and angle NQB.
This is exactly how the question is asked and there is no diagram given.

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Question 16768: An angle's measure is 24 degrees less than that of it's supplement. Find the measure of the angle. Would this be x+(x+24)=180? ????
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Question 17038: ?a reflex angle
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Question 17947: What is the polygon exterior angle sum theorem?
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Question 17742: what is the circumference formula?

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Question 18372: true or false:
Two acute angles can be complementary.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670